exam Maths Puzzle Numerical Ability

Factor each polynomial completely:
8x3(x to the third) - 27
I tried, (4x +9)(2x-3) is that close
8x2(x squared) +-12x +-18x -27

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exam Other Question

Give an example of a rational expression P/Q such that: The degree of the denominator Q is 3 and this expression is defined for all real numbers except the values 2 and 4. Can someone help me on this problem #52, page 562 in the textbook I showe above.
Just in case you don't have the book, here is the problem:

I need to find the constant of va